Please calculate the Euclidean distances between point and the other points, and fill in the table below. tance(A, G) distance(B, G) distance(C, G) distance(D, G) | distance(E, G) | distance(F, G)
Please calculate the Euclidean distances between point and the other points, and fill in the table below. tance(A, G) distance(B, G) distance(C, G) distance(D, G) | distance(E, G) | distance(F, G)
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Subject: Artificial intelligent
Hello Expert, could you please help me for solving this question (a)(b)(c)(d)?
Thank You Sir
Transcribed Image Text:K-nearest neighbor classification : As shown in the table below, there are seven three-dimensional
data points, among which six are labeled and one is unlabeled. Please determine the label of data point
C by using the K-nearest neighbor classification method according to the Euclidean distance metric.
data points
A(7,3,9)
B(6,2,1)
C(7,10,9)
D(8,1,6)
E(1,6,7)
F(9,7,3)
G(9,1,7)
label
1
1
2
2
1
1
unknown
The definition of Euclidean distance is given below. If you are given two data points, i.e.,
A = (a₁, a2, a3) and B (b₁,b2, 63), then Euclidean distance between A and B can be calculated by
distance (A, B) = √(a1 − b₁)² + (a₂ b₂)² + (a3 -b3)².
=
a) Please calculate the Euclidean distances between point and the other points, and fill in the table
below.
distance(A, G) | distance(B,G) distance(C, G)
distance(D, G) | distance(E, G) | distance(F, G)
b) Please determine the label of the data point based on the 1-nearest neighbor method (i.e., k = 1).
c) Please determine the label of the data point ( based on the 3-nearest neighbors method (i.e.,
k = 3).
d) Please implement the above three questions by coding and paste your codes below. For example,
you can paste your Matlab or Python codes below (other programming languages are also
welcome).
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